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Finding the Fourth Proportional to 132.41, 197.49 and 128.36

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Solution

The fourth proportional to 132.41, 197.49 and 128.36 is: 191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.41 : 197.49 = 128.36 : x
  2. Step 2: Convert to fraction form
    132.41/197.49 = 128.36/x
  3. Step 3: Cross multiply
    132.41x = 197.49 × 128.36
  4. Step 4: Simplify right side
    132.41x = 25,348.99
  5. Step 5: Solve for x
    x = 25,348.99/132.41
  6. Step 6: Final answer
    x = 191.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.